Clark was reportedly embraced by Trump due to his support for the president's claims that the election was stolen.
The New York Times says Trump's decision not to sack Rosen "came only after Rosen and Clark made their competing cases to him in a bizarre White House meeting that two officials compared with an episode of Trump's reality show The Apprentice, albeit one that could prompt a constitutional crisis".
Ultimately, senior Department of Justice officials on a conference call agreed that if Rosen was replaced, they would all resign. Trump was persuaded to keep Rosen in place, fearing the furore mass resignations at the Justice Department would cause, the Times reports.
The report comes after Trump made his first public comments since leaving office, telling a journalist at his golf club near Mar-a-Lago that he would make a comeback in some form.
"We'll do something, but not just yet," Trump said while having lunch on Friday (Saturday NZT), minutes after House Democrats announced they would send an article of impeachment to the Senate on Monday.
"The Senate will conduct a trial," Senate Majority Leader Chuck Schumer said on the floor of the chamber, adding that Senators would "have to decide if they believe Donald John Trump incited the erection" against the United States.
The unfortunate slip-up (he meant to say "insurrection") generated much amusement online. "We're in for a long, hard trial next week," one Twitter user wrote.